Abstract
We compute the proper real-time interaction potential between a static quark and antiquark in classical lattice gauge theory at finite temperature. Our central result is the determination of the screened real-part of this potential, and we reconfirm the presence of an imaginary part. The real part is intimately related to the back-reaction of the static sources onto the gauge fields, incorporated via Gauss’s law. Differences in the treatment of static sources in quantum and classical lattice gauge theory are discussed.
Highlights
JHEP07(2021)067 high-energy nuclear physics community and the condensed matter physics community has given momentum to the ongoing development of an open quantum systems description of heavy quarkonium in contact but not necessarily in equilibrium with its hot environment
Aμ refers to the gauge field of the strong interactions, and, as a correlation function, the Wilson loop is evaluated in path-ordered fashion, indicated by the operator P
In agreement with figure 1, the spectral function is purely real and exhibits a single dominant peak located at vanishing frequency, whose width increases with spatial separation distance of the underlying coordinate space Wilson loop
Summary
The study of the binding properties of static charges in the presence of a medium of light charge carriers goes back to the works of Debye and Hückel [60]. They observe that its values are purely real. For a color-anticolor structure relevant to describe an overall color singlet state, we may choose e.g. a red anti-red rr-configuration, which we would represent by Mq = diag[+1, 0, 0] and M−q = diag[−1, 0, 0] This proper Gauss’s law, as part of the equations of motion, implements the back-reaction of the sources onto the gauge fields. We will carry out simulations of the Wilson loop in classical statistical gauge theory in the presence of sources, i.e., based on the discretized counterpart of the proper Gauss’s law of eq (2.12). We investigate whether the back-reaction changes the behavior of the imaginary part of the potential found in ref. [53]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
